A method for dividing the profile of a ship space deployable antenna

Abstract

The application relates to the technical field of ship communication, and particularly discloses a ship space deployable antenna profile division comparison method, which comprises the following steps: performing profile division on a space deployable antenna to obtain a plurality of sub-planes; obtaining characteristic nodes of each sub-plane, calculating the area of the sub-plane by using a vector cross product method to obtain the total area of the sub-plane; projecting the sub-plane on an ideal paraboloid based on parallel projection to correspondingly obtain a plurality of sub-paraboloids; obtaining characteristic nodes of each sub-paraboloid, calculating the area of the sub-paraboloid by using a node area error numerical integration method to obtain the total area of the sub-paraboloid; determining the precision value of the profile division according to the total area of the sub-plane and the total area of the sub-paraboloid, comparing the precision values obtained by using different profile division modes, and determining an optimal profile division mode. The comparison method is suitable for the division and comparison of different space deployable antenna profiles, and can determine a profile division mode with high profile precision.

Description

Technical Field

[0001] This invention relates to the field of ship communication technology, and in particular to a method for comparing and dividing the surface of a deployable antenna in ship space. Background Technology

[0002] Shipboard antennas are crucial equipment for communication, navigation, broadcast reception, and distress calls on ships. In the field of shipboard communication, various space-deployable antenna profiles have emerged. The profile division of space-deployable antennas is critical to their accuracy. The division process involves precise determination of node positions and connection methods to ensure the shape and accuracy of the reflector. A reasonable profile division helps reduce errors that may be introduced during antenna manufacturing, installation, debugging, and deployment. Currently, various polygonal profile division methods are proliferating, making it quite difficult to determine and compare which profile division provides the best profile accuracy during the design phase. Therefore, the technical solution of this application is urgently needed to solve the above problems. Summary of the Invention

[0003] The purpose of this invention is to provide a method for comparing and dividing the surface profile of a deployable space antenna on a ship. This method is applicable to comparing and dividing the surface profiles of different deployable space antennas and determining a surface division method with high accuracy.

[0004] To achieve the above objectives, the present invention provides a method for comparing and dividing the surface profile of a deployable antenna in space, comprising:

[0005] The spatially deployable antenna is divided into multiple sub-planes.

[0006] Obtain the feature nodes of each subplane, and determine the node coordinate values ​​of the subplane based on the feature nodes of the subplane;

[0007] Based on the node coordinates of the subplane, the area of ​​the subplane is calculated using the vector cross product method, and the areas of each subplane are summed to obtain the total area of ​​the subplane.

[0008] The sub-plane is projected onto an ideal parabolic surface based on parallel projection to obtain multiple sub-parabolic surfaces.

[0009] Obtain the feature nodes of each of the sub-parabolic surfaces, and determine the node coordinate values ​​of the sub-parabolic surfaces based on the feature nodes of the sub-parabolic surfaces;

[0010] Based on the nodal coordinates of the sub-parabolic surface, the area of ​​the sub-parabolic surface is calculated using the nodal area error numerical integration method, and the areas of each sub-parabolic surface are summed to obtain the total area of ​​the sub-parabolic surface.

[0011] Based on the total area of ​​the sub-plane and the total area of ​​the sub-parabolic surface, the accuracy value of the surface division is determined. The accuracy values ​​obtained by different surface division methods are compared to determine the preferred surface division method.

[0012] In some embodiments, the surface division of the spatially deployable antenna includes: dividing the surface into polygons; if the polygon is a triangle, then the subplane is a triangle; if the polygon has more than three sides, then the polygon with more than three sides is divided into several triangles, and the subplane is each of the divided triangles.

[0013] In some embodiments, the surface is divided into 96 identical sub-planes, each sub-plane being a triangle, and having a total of 61 feature nodes, corresponding to the node coordinate values ​​of the 61 sub-parabolic surfaces.

[0014] In some embodiments, the surface is divided into 64 identical sub-planes, each sub-plane being a quadrilateral, and a total of 81 feature nodes of the sub-planes are obtained, corresponding to the node coordinate values ​​of the 81 sub-parabolic surfaces.

[0015] In some embodiments, when calculating the area of ​​the sub-plane, the 64 quadrilateral sub-planes are divided into 128 triangular sub-planes, and the area of ​​each of the 128 triangular sub-planes is calculated.

[0016] In some embodiments, the area of ​​the subplane satisfies the following relationship:

[0017]

[0018] Wherein, the coordinate values ​​of the three nodes of the sub-plane are A(x1, y1, z1), B(x2, y2, z2), C(x3, y3, z3), and S. △ABC Let be the area of ​​the subplane.

[0019] In some embodiments, the area of ​​the sub-parabolic surface satisfies the following relationship:

[0020] z = ax 2 +by 2 +cxy+dx+ey+f

[0021]

[0022] Where a, b, c, d, e, and f are coefficients, x, y, and z are the nodal coordinates of the subparabolic surface, D = {(x, y) | x1 ≤ x ≤ x2, y1 ≤ y ≤ y2}, and S is the area of ​​the subparabolic surface.

[0023] In some embodiments, the accuracy value of the surface division satisfies the following relationship:

[0024] ω=S1 / S2

[0025] Wherein, ω is the precision value, S1 is the total area of ​​the sub-plane, and S2 is the total area of ​​the sub-parabolic surface.

[0026] In some embodiments, comparing the accuracy values ​​obtained by different surface division methods to determine the preferred surface division method includes: the accuracy value corresponding to the preferred surface division method is closest to 1.

[0027] In some embodiments, the spatially deployable antenna is used for wireless communication on the ship.

[0028] This invention provides a method for comparing and dividing the surface profile of a deployable space antenna on a ship. Compared with existing technologies, its advantages are as follows:

[0029] The area of ​​the subplane is calculated using the vector cross product method, and the area of ​​the subparabolic surface is calculated using the nodal area error numerical integration method. Finally, based on the total area of ​​the subplane and the total area of ​​the subparabolic surface, the accuracy value of the surface division is determined. The accuracy values ​​obtained by different surface division methods are compared to determine the preferred surface division method. This method is applicable to the comparison of surface division for different spatial deployable antennas and determines the surface division method with high accuracy. Attached Figure Description

[0030] Figure 1 A flowchart illustrating the method for dividing and comparing the surface profile of a deployable antenna in space, as provided in an embodiment of the present invention.

[0031] Figure 2 This is a schematic diagram of the sub-plane feature nodes of the ship space deployable antenna profile triangular division provided in some embodiments of the present invention.

[0032] Figure 3 This is a schematic diagram of the projection of the sub-plane feature nodes of the ship space deployable antenna profile triangularly divided into subplanes onto a parabolic surface, as provided in some embodiments of the present invention.

[0033] Figure 4 This is a schematic diagram of the feature nodes of the sub-plane of the ship space deployable antenna profile triangularly divided according to some embodiments of the present invention.

[0034] Figure 5 This is a schematic diagram of the sub-plane feature nodes of the quadrilateral division of the surface of a ship space deployable antenna, provided for other embodiments of the present invention.

[0035] Figure 6This is a schematic diagram of the sub-plane feature nodes of the quadrilateral division of the ship space deployable antenna profile provided in some other embodiments of the present invention projected onto a parabolic surface.

[0036] Figure 7 This is a schematic diagram showing the division of a quadrilateral subplane of a deployable antenna surface in a ship's space into a triangular subplane, as provided in some other embodiments of the present invention.

[0037] Figure 8 This is a schematic diagram of the nodal coordinates of the sub-parabolic surfaces divided by the quadrilateral shape of the ship's deployable antenna profile, provided for other embodiments of the present invention.

[0038] Figure 9 This is a schematic diagram of the area of ​​the sub-planes divided by the triangular shape of the ship's space deployable antenna according to some embodiments of the present invention.

[0039] Figure 10 This is a schematic diagram of the node coordinates of the sub-planes divided by the quadrilateral shape of the ship's space deployable antenna profile, provided for other embodiments of the present invention.

[0040] Figure 11 A comparative front view of the sub-plane and sub-parabolic surface of the ship space deployable antenna profile triangularly divided according to some embodiments of the present invention.

[0041] Figure 12 This is a comparative main schematic diagram of the sub-planes and sub-parabolic surfaces of the quadrilateral division of the ship space deployable antenna profile provided for other embodiments of the present invention.

[0042] Figure 13 The present invention provides a side view comparing the sub-plane and sub-parabolic surface of a ship space deployable antenna profile divided into triangles.

[0043] Figure 14 A side-by-side schematic diagram of the sub-plane and sub-parabolic surface of the quadrilateral division of the ship space deployable antenna profile provided for other embodiments of the present invention. Detailed Implementation

[0044] The technical solutions in the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments.

[0045] It should be noted that, unless otherwise specifically stated, the relative arrangement, numerical expressions, and values ​​of the components and steps set forth in these embodiments do not limit the scope of this disclosure.

[0046] At the same time, it should be understood that, for ease of description, the dimensions of the various parts shown in the accompanying drawings are not drawn according to actual scale.

[0047] The following description of at least one exemplary embodiment is merely illustrative and is in no way intended to limit this disclosure or its application or use.

[0048] Techniques, methods, and equipment known to those skilled in the art may not be discussed in detail, but where appropriate, such techniques, methods, and equipment should be considered part of the specification.

[0049] In all examples shown and discussed herein, any specific values ​​should be interpreted as merely exemplary and not as limitations. Therefore, other examples of exemplary embodiments may have different values.

[0050] It should be noted that similar labels and letters in the following figures indicate similar items; therefore, once an item is defined in one figure, it does not need to be discussed further in subsequent figures.

[0051] Furthermore, the technical features involved in the different embodiments of this application described below can be combined with each other as long as they do not conflict with each other.

[0052] like Figure 1 As shown, the method for dividing and comparing the surface profile of a deployable ship antenna provided in this embodiment of the invention includes the following steps:

[0053] S1. Divide the spatially deployable antenna into multiple sub-planes;

[0054] S2. Obtain the feature nodes of each subplane, and determine the node coordinate values ​​of the subplane based on the feature nodes of the subplane;

[0055] S3. Based on the node coordinates of the subplane, calculate the area of ​​the subplane using the vector cross product method, and sum the areas of each subplane to obtain the total area of ​​the subplane.

[0056] S4. Based on parallel projection, project the sub-plane onto the ideal parabolic surface to obtain multiple sub-parabolic surfaces.

[0057] S5. Obtain the feature nodes of each sub-parabolic surface, and determine the node coordinate values ​​of the sub-parabolic surface based on the feature nodes of the sub-parabolic surface;

[0058] S6. Based on the nodal coordinates of the sub-parabolic surfaces, calculate the area of ​​the sub-parabolic surfaces using the nodal area error numerical integration method, and sum the areas of each sub-parabolic surface to obtain the total area of ​​the sub-parabolic surfaces.

[0059] S7. Based on the total area of ​​the sub-plane and the total area of ​​the sub-parabolic surface, determine the accuracy value of the surface division, compare the accuracy values ​​obtained by different surface division methods, and determine the preferred surface division method.

[0060] In this embodiment, the area of ​​the subplane satisfies the following relationship (1):

[0061]

[0062] The coordinates of the three nodes in the subplane are A(x1, y1, z1), B(x2, y2, z2), C(x3, y3, z3), and S. △ABC Let be the area of ​​the subplane.

[0063] The areas of the subparabolic surfaces satisfy the following relationships (2) and (3):

[0064] z = ax 2 +by 2 +cxy+dx+ey+f

[0065]

[0066] Where a, b, c, d, e, and f are coefficients, x, y, and z are the nodal coordinates of the subparabolic surface, D = {(x, y) | x1 ≤ x ≤ x2, y1 ≤ y ≤ y2}, and S is the area of ​​the subparabolic surface.

[0067] The accuracy value of the surface division satisfies the following relationship (4):

[0068] ω=S1 / S2

[0069] Where ω is the precision value, S1 is the total area of ​​the subplane, and S2 is the total area of ​​the subparabolic surface.

[0070] like Figure 2 As shown, in one embodiment, the surface of the spatially deployable antenna is divided into 96 identical triangular sub-planes, which are symmetrical along the x-axis and y-axis. Each triangular sub-plane has 61 feature nodes, labeled A1, A2, A3, A4, A5, B1, B2, B3, B4, B5, B6, C1, C2, C3, C4, C5, C6, C7, D1, D2, D3, D4, D5, D6, D7, D8, E1, E2, E3, E4, E5, E6, E7, E8, E9, F1, F2, F3, F4, F5, F6, F7, F8, G1, G2, G3, G4, G5, G6, G7, H1, H2, H3, H4, H5, H6, I1, I2, I3, I4, I5.

[0071] like Figure 3As shown, based on the principle of parallel projection, each feature node and line segment on the triangular subplane is completely projected onto the ideal parabolic reflective surface in the vertical direction. After projection, each node and line segment on the planar reflective surface can only correspond to each node and line segment on the ideal parabolic surface, i.e., the correspondence is unique. The relationship between the projected nodes and line segments remains unchanged. There is a line segment connecting two nodes on the planar reflective surface.

[0072] like Figure 4 As shown, the feature nodes of the triangular subplane, after projection, correspond to the feature nodes of the triangular subparabolic surface, and are respectively labeled as A. 11 A 12 A 13 A 14 A 15 B 11 B 12 B 13 B 14 B 15 B 16 C 11 C 12 C 13 C 14 C 15 C 16 C 17 D 11 D 12 D 13 D 14 D 15 D 16 D 17 D 18 E 11 E 12 E 13 E 14 E 15 E 16 E 17 E 18 E 19 F 11 F 12 F 13 F 14 F 15 F 16 F 17 F 18 G 11 G 12 G 13 G 14 G 15 G 16 G 17 H 11 H 12 H13 H 14 H 15 H 16 I 11 I 12 I 13 I 14 I 15 The specific nodal coordinates of the triangular subparabolic surface are shown in the table below:

[0073]

[0074] Because the triangular subplanes are symmetrical, we only need to consider calculating the total area of ​​the triangular subplanes in the first quadrant by multiplying them by four. The nodes of the triangular subplanes, after projection, correspond to the nodes of the corresponding triangular parabolic surfaces, such as... Figure 9 As shown, the triangular subplane in the first quadrant is represented by the following symbol: S 11 S 12 S 13 S 14 S 15 S 21 S 22 S 23 S 24 S 25 S 26 S 31 S 32 S 33 S 34 S 35 S 36 S 37 S 41 S 42 S 43 S 44 S 45 S 46 S 47 S 48 Based on the node coordinates of the triangular subplane, the area of ​​each triangular subplane is calculated using relation (1), as shown in the table below.

[0075]

[0076] like Figure 5 As shown, in another embodiment, the surface of the spatially deployable antenna is divided into 64 identical quadrilateral sub-planes, which together form 81 feature nodes, labeled A. 111 A 112 A 113 A 114 A 115 A116 、A 117 、A 118 、A 119 、B 111 、B 112 、B 113 、B 114 、B 115 、B 116 、B 117 、B 118 、B 119 、C 111 、C 112 、C 113 、C 114 、C 115 、C 116 、C 117 、C 118 、C 119 、D 111 、D 112 、D 113 、D 114 、D 115 、D 116 、D 117 、D 118 、D 119 、E 111 、E 112 、E 113 、E 114 、E 115 、E 116 、E 117 、E 118 、E 119 、F 111 、F 112 、F 113 、F 114 、F 115 、F 116 、F 117 、F 118 、F 119 、G 111 、G 112 、G 113 、G 114 、G 115 、G 116 、G 117 、G 118 、G 119 、H 111 、H 112 、H 113 、H 114 、H 115 、H 116 、H 117 、H 118 、H 119I 111 I 112 I 113 I 114 I 115 I 116 I 117 I 118 I 119 .

[0077] like Figure 5 As shown, the nodes and line segments of the quadrilateral subplane are precisely mapped onto the ideal parabolic reflector surface through a vertical projection. In this projection, each node and line segment has a unique corresponding point on the parabolic reflector surface. Specifically, each element on the planar reflector surface corresponds to only one specific element on the parabolic reflector surface.

[0078] Because there are many types of polygons, before using this method, the polygons need to be simplified by equivalent decomposition. By transforming quadrilaterals into simpler triangles, the computational complexity and workload are reduced. Furthermore, the symmetry inherent in surface division is flexibly utilized to effectively conduct surface accuracy comparison analysis, improving the accuracy and efficiency of the analysis. Figure 7 As shown, in a polygon, a single quadrilateral can be divided into two triangles. Therefore, the quadrilateral plane is divided from 64 quadrilateral sub-planes into 128 triangular sub-planes.

[0079] The quadrilateral planar surface division node, after projection, corresponds to the quadrilateral parabolic surface division node, such as... Figure 8 As shown, the feature nodes of the quadrilateral subparabolic surface projected as A 1111 A 1112 A 1113 A 1114 A 1115 A 1116 A 1117 A 1118 A 1119 B 1111 B 1112 B 1113 B 1114 B 1115 B 1116 B 1117 B 1118 B 1119 C 1111 C 1112 C 1113 C 1114 C 1115 C 1116 C 1117 C 1118 C 1119 D 1111 D1112 D 1113 D 1114 D 1115 D 1116 D 1117 D 1118 D 1119 E 1111 E 1112 E 1113 E 1114 E 1115 E 1116 E 1117 E 1118 E 1119 F 1111 F 1112 F 1113 F 1114 F 1115 F 1116 F 1117 F 1118 F 1119 G 1111 G 1112 G 1113 G 1114 G 1115 G 1116 G 1117 G 1118 G 1119 H 1111 H 1112 H 1113 H 1114 H 1115 H 1116 H 1117 H 1118 H 1119 I 1111 I 1112 I 1113 I 1114 I 1115 I 1116 I 1117 I 1118 I 1119 The specific nodal coordinates of the quadrilateral paraboloid are shown in the table below.

[0080]

[0081] Specifically, such as Figure 10 and 11 As shown, a simplified method based on polygon decomposition transforms a single quadrilateral subplane into two triangular subplanes. The areas of these triangular subplanes are S0 and S1 respectively. 111 S 112 S113 S 114 S 115 S 116 S 117 S 118 S 111 S 122 S 123 S 124 S 125 S 126 S 127 S 128 S 131 S 132 S 133 S 134 S 135 S 136 S 137 S 138 S 141 S 142 S 143 S 144 S 145 S 146 S 147 S 148 Based on the node coordinates of the triangular subplanes, the areas of these triangular subplanes are calculated using relation (1), as shown in the table below.

[0082]

[0083] Based on the coordinates of the triangular subparabolic surface nodes and the quadrilateral subparabolic surface nodes, the areas of the triangular subparabolic surface and the quadrilateral subparabolic surface are calculated using equations (2) and (3), as shown in the table below.

[0084]

[0085] Based on the parameters in the table above, the total area of ​​the triangular subplane is calculated to be 7358875.2 mm². 2 The total area of ​​the triangular subparabolic surface is 7358875.2 mm². 2 According to formula (4), the accuracy value ω of the triangle division is calculated to be 99.996%. Similarly, the total area of ​​the quadrilateral subplane is 5347837.6 mm². 2 The total area of ​​the quadrilateral paraboloid is 5348405.2 mm². 2 According to the relation (4), the accuracy value ω of the quadrilateral division is 99.989%. By comparison, it can be seen that in the above two specific size embodiments, the triangular parabolic surface division is better than the quadrilateral parabolic surface division in terms of accuracy.

[0086] It should be noted that the accuracy of the surface division is related to both the shape and size of the division, and the specific coordinate values ​​above involve dimensional relationships.

[0087] The above description is only a preferred embodiment of the present invention. It should be noted that for those skilled in the art, several improvements and substitutions can be made without departing from the technical principles of the present invention, and these improvements and substitutions should also be considered within the scope of protection of the present invention.

Claims

1. A method for comparing and dividing the surface profile of a deployable antenna in space on a ship, characterized in that, include: The spatially deployable antenna is divided into multiple sub-planes. Obtain the feature nodes of each sub-plane, and determine the node coordinate values ​​of the sub-plane based on the feature nodes of the sub-plane; Based on the node coordinates of the subplane, the area of ​​the subplane is calculated using the vector cross product method, and the areas of each subplane are summed to obtain the total area of ​​the subplane. The sub-plane is projected onto an ideal parabolic surface based on parallel projection to obtain multiple sub-parabolic surfaces. Obtain the feature nodes of each of the sub-parabolic surfaces, and determine the node coordinate values ​​of the sub-parabolic surfaces based on the feature nodes of the sub-parabolic surfaces; Based on the nodal coordinates of the sub-parabolic surface, the area of ​​the sub-parabolic surface is calculated using the nodal area error numerical integration method, and the areas of each sub-parabolic surface are summed to obtain the total area of ​​the sub-parabolic surface. Based on the total area of ​​the sub-plane and the total area of ​​the sub-parabolic surface, the accuracy value of the surface division is determined. The accuracy values ​​obtained by different surface division methods are compared to determine the preferred surface division method.

2. The method for comparing and dividing the surface of a ship's deployable antenna according to claim 1, characterized in that, The surface division of the spatially deployable antenna includes: dividing the surface into polygons; if the polygon is a triangle, then the subplane is a triangle; if the polygon has more than three sides, then the polygon with more than three sides is divided into several triangles, and the subplane is each of the divided triangles.

3. The method for comparing and dividing the surface of a ship's deployable antenna according to claim 2, characterized in that, The surface is divided into 96 identical sub-planes, each sub-plane being a triangle, with a total of 61 feature nodes, corresponding to the node coordinate values ​​of the 61 sub-parabolic surfaces.

4. The method for comparing and dividing the surface of a ship's deployable antenna according to claim 2, characterized in that, The surface is divided into 64 identical sub-planes, each sub-plane being a quadrilateral, with a total of 81 feature nodes, corresponding to the node coordinate values ​​of the 81 sub-parabolic surfaces.

5. The method for comparing and dividing the surface of a ship's deployable antenna according to claim 4, characterized in that, When calculating the area of ​​the subplane, the 64 quadrilateral subplanes are divided into 128 triangular subplanes, and the area of ​​each of the 128 triangular subplanes is calculated.

6. The method for comparing and dividing the surface of a ship's deployable antenna according to claim 2, characterized in that, The area of ​​the subplane satisfies the following relationship: Wherein, the coordinate values ​​of the three nodes of the sub-plane are A(x1, y1, z1), B(x2, y2, z2), C(x3, y3, z3), and S. △ABC Let be the area of ​​the subplane.

7. The method for comparing and dividing the surface of a ship's deployable antenna according to claim 2, characterized in that, The area of ​​the sub-parabolic surface satisfies the following relationship: z=ax 2 +by 2 +cxy+dx+ey+f Where a, b, c, d, e, and f are coefficients, x, y, and z are the nodal coordinates of the subparabolic surface, D = {(x, y) | x1 ≤ x ≤ x2, y1 ≤ y ≤ y2}, and S is the area of ​​the subparabolic surface.

8. The method for comparing and dividing the surface of a ship's deployable antenna according to claim 1, characterized in that, The accuracy values ​​of the surface division satisfy the following relationship: ω=S1 / S2 Wherein, ω is the precision value, S1 is the total area of ​​the sub-plane, and S2 is the total area of ​​the sub-parabolic surface.

9. The method for comparing and dividing the surface of a deployable ship antenna according to claim 8, characterized in that, Comparing the accuracy values ​​obtained using different surface division methods, the preferred surface division method is determined by the accuracy value corresponding to the preferred surface division method being closest to 1.

10. The method for comparing and dividing the surface of a ship's deployable spatial antenna according to claim 1, characterized in that, The deployable antenna is used for wireless communication on the ship.

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